Impact of the Drag Force and the Magnus Effect on the Trajectory of a Baseball

ABSTRACT

We consider the impact of drag force and the Magnus effect on the motion of a baseball. Quantitatively we show how the speed-dependent drag coefficient alters the trajectory of the ball. For the Magnus effect we envision a scenario where the rotation of the ball confines the Magnus force to the vertical plane; gravity, drag force and the Magnus force make a trio-planar system. We investigate the interplay of these forces on the trajectories.

We consider the impact of drag force and the Magnus effect on the motion of a baseball. Quantitatively we show how the speed-dependent drag coefficient alters the trajectory of the ball. For the Magnus effect we envision a scenario where the rotation of the ball confines the Magnus force to the vertical plane; gravity, drag force and the Magnus force make a trio-planar system. We investigate the interplay of these forces on the trajectories.

Cite this paper

Sarafian, H. (2015) Impact of the Drag Force and the Magnus Effect on the Trajectory of a Baseball.*World Journal of Mechanics*, **5**, 49-58. doi: 10.4236/wjm.2015.54006.

Sarafian, H. (2015) Impact of the Drag Force and the Magnus Effect on the Trajectory of a Baseball.

References

[1] Halliday, D., Risnick, R. and Walker, J. (2011) Fundamentals of Physics. 9th Edition, John Wiley & Sons, Inc., Hoboken.

[2] Bauer, W. and Westfall, G. (2011) University Physics. McGraw-Hill, New York.

[3] Tipler, P. (1991) Physics. 3rd Edition, Worth Publisher, New York.

[4] VanWyk, S. (2008) Computer Solutions in Physics. World Scientific, Singapore.

[5] Giordano, N. and Nakanishi, H. (2006) Computational Physics. 2nd Edition, Prentice Hall, Upper Saddle River.

[6] Wolfgang, N. and Weidenmuller, H. (1980) Lecture Notes in Physics, Vol. 51. Springer-Verlag, Berlin, 194.

[7] Adair, R. (2002) The Physics of Baseball. 3rd Edition, Harper-Collins Publishers Inc., New York.

[8] Sarafian, H. (1999) On Projectile Motion. The Physics Teacher, 37, 86-88.

http://dx.doi.org/10.1119/1.880184

[1] Halliday, D., Risnick, R. and Walker, J. (2011) Fundamentals of Physics. 9th Edition, John Wiley & Sons, Inc., Hoboken.

[2] Bauer, W. and Westfall, G. (2011) University Physics. McGraw-Hill, New York.

[3] Tipler, P. (1991) Physics. 3rd Edition, Worth Publisher, New York.

[4] VanWyk, S. (2008) Computer Solutions in Physics. World Scientific, Singapore.

[5] Giordano, N. and Nakanishi, H. (2006) Computational Physics. 2nd Edition, Prentice Hall, Upper Saddle River.

[6] Wolfgang, N. and Weidenmuller, H. (1980) Lecture Notes in Physics, Vol. 51. Springer-Verlag, Berlin, 194.

[7] Adair, R. (2002) The Physics of Baseball. 3rd Edition, Harper-Collins Publishers Inc., New York.

[8] Sarafian, H. (1999) On Projectile Motion. The Physics Teacher, 37, 86-88.

http://dx.doi.org/10.1119/1.880184